What is the Greatest Common Factor of 68670 and 68684?

Greatest common factor (GCF) of 68670 and 68684 is 14.

GCF(68670,68684) = 14

We will now calculate the prime factors of 68670 and 68684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68670 and 68684.

How to find the GCF of 68670 and 68684?

We will first find the prime factorization of 68670 and 68684. After we will calculate the factors of 68670 and 68684 and find the biggest common factor number .

Step-1: Prime Factorization of 68670

Prime factors of 68670 are 2, 3, 5, 7, 109. Prime factorization of 68670 in exponential form is:

68670 = 2¹ × 3² × 5¹ × 7¹ × 109¹

Step-2: Prime Factorization of 68684

Prime factors of 68684 are 2, 7, 11, 223. Prime factorization of 68684 in exponential form is:

68684 = 2² × 7¹ × 11¹ × 223¹

Step-3: Factors of 68670

List of positive integer factors of 68670 that divides 68670 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 109, 126, 210, 218, 315, 327, 545, 630, 654, 763, 981, 1090, 1526, 1635, 1962, 2289, 3270, 3815, 4578, 4905, 6867, 7630, 9810, 11445, 13734, 22890, 34335

Step-4: Factors of 68684

List of positive integer factors of 68684 that divides 68670 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 223, 308, 446, 892, 1561, 2453, 3122, 4906, 6244, 9812, 17171, 34342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68670 and 68684. The biggest common factor number is the GCF number.
So the greatest common factor 68670 and 68684 is 14.

Also check out the Least Common Multiple of 68670 and 68684